what is y=-4(x+5)^2-16 in standard form

∫dt/√(25-16t^2 )

Why is (-5)^2= -5 x -5 = 25 but -5^2 = -5 x 5 = -25. How does the parenthesis make a difference in why the negative is carried over and how can i tell if a problem wants me to add my own parenthesis?

Simplify: 64 / (8 - 4)^2 x 9 - 5^2 using the order of operation agreement. Show all step

The polynomial 0.0011 x^3 - 0.07x^2 + 1.6x + 11models natural gas consumption in trillions of cubic​ feet, where x = 0corresponds to​ 1960, x=1 to​ 1961, and so on. In which year between 1970 and 1990 was natural gas consumption about22.4 trillion cubic​ feet?

Expand (1 + 2x^2)^5 and write the resulting polynomial in standard form.

Simplify 5(x-z)^10 - 15(z-x)^10 and use no negative exponents or radicals.   The answer is supposed to be -10(x-z)^10, but:   When we factor out -1 from -15(z-x)^10, don't we multiply -1 to -15 also? So shouldn't the answer be 20(x-z)^10?

Write the expression (x-3)^2 - 36 in factored form .    (x-3)^2-36 is written as x^2-6x-27 in quadratic form

how would I do this?(9x^5y^-9)(-4x^-9y^-5)

a. negate: “every sun is red.” b. expand: (3x − 2)^5